Hw 2 A local trucking company fitted a regression to relate

Hw 2

A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles). The fitted regression is Time = -7.126 + 0.0214Distance, based on a sample of 20 shipments. The estimated standard error of the slope is 0.0053. Find the value of t_calc to test for zero slope.

a ) 4.04

b ) 3.15

c) 5.02

d) 2.46

I got (b) but im not sure

1) 1.57.

2) 6.15.

3) 4.83.

4) 1.15.

When testing the hypothesis H₀: = 100 with n = 100 and ² = 100, we find that the sample mean is 97. The test statistic is:

-10.00

-0.300

-3.000

-0.030

Solution

Test Statistic
Population Mean(U)=100
Given That X(Mean)=97
Standard Deviation(S.D)=10
Number (n)=100
we use Test Statistic (Z) = x-U/(s.d/Sqrt(n))
Zo=97-100/(10/Sqrt(100)
Zo =-3.00